Zeros of the Grand Partition Function for a Lattice Gas

1970 ◽  
Vol 11 (9) ◽  
pp. 2701-2703 ◽  
Author(s):  
Ole J. Heilmann
Keyword(s):  
Partition Function ◽  
Lattice Gas ◽  
Grand Partition Function

A non-perturbative path-integral based thermal cluster expansion approach for grand partition function of quantum systems

2002 ◽  
Vol 352 (1-2) ◽  
pp. 63-69 ◽  
Author(s):  
Sheikh Hannan Mandal ◽  
Rathindranath Ghosh ◽  
Goutam Sanyal ◽  
Debashis Mukherjee
Keyword(s):  
Partition Function ◽  
Path Integral ◽  
Cluster Expansion ◽  
Quantum Systems ◽  
Grand Partition Function

A non-perturbative cumulant expansion method for the grand partition function of quantum systems

2001 ◽  
Vol 335 (3-4) ◽  
pp. 281-288 ◽  
Author(s):  
Sheikh Hannan Mandal ◽  
Rathindranath Ghosh ◽  
Debashis Mukherjee
Keyword(s):  
Partition Function ◽  
Expansion Method ◽  
Quantum Systems ◽  
Grand Partition Function ◽  
Cumulant Expansion

The occupancy of the threading dislocation lines within n-type gallium nitride: Recent progress

2012 ◽  
Vol 1432 ◽  
Author(s):  
Erfan Baghani ◽  
Stephen K. O’Leary
Keyword(s):  
Gallium Nitride ◽  
Partition Function ◽  
Recent Progress ◽  
Threading Dislocation ◽  
Grand Partition Function ◽  
Dangling Bond ◽  
Large Role ◽  
Defect Sites ◽  
Dislocation Defect ◽  
Defect Energy Level

ABSTRACTWithin the framework of a grand partition function formalism, we examine the occupancy of the dangling bond dislocation defect sites and the VGa-ON dislocation defect sites within uncompensated n-type gallium nitride. The sensitivity of these results to variations in the unoccupied dislocation defect energy level is examined. We find that the VGa-ON dislocation defect sites’ greater capacity to store charge plays a large role in influencing the results, i.e., greater free electron and bulk donor concentrations are required in order to fully saturate the threading dislocation lines with charge.

THERMODYNAMICS OF q-MODIFIED BOSONS

1996 ◽  
Vol 10 (06) ◽  
pp. 683-699 ◽  
Author(s):  
P. NARAYANA SWAMY
Keyword(s):  
Mechanical Properties ◽  
Phase Transition ◽  
Equation Of State ◽  
Partition Function ◽  
Statistical Mechanics ◽  
Specific Heat ◽  
Thermodynamic Functions ◽  
Bose Condensation ◽  
Grand Partition Function ◽  
Statistical Mechanical

Based on a recent study of the statistical mechanical properties of the q-modified boson oscillators, we develop the statistical mechanics of the q-modified boson gas, in particular the Grand Partition Function. We derive the various thermodynamic functions for the q-boson gas including the entropy, pressure and specific heat. We demonstrate that the gas exhibits a phase transition analogous to ordinary bose condensation. We derive the equation of state and develop the virial expansion for the equation of state. Several interesting properties of the q-boson gas are derived and compared with those of the ordinary boson which may point to the physical relevance of such systems.

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